A:= {(x, y) € R² :1< log(x) < 2}. = {(x, y, z) E R³: sin(xy² + «/2) · cos(z) = 1} . (a) Decide whether A and B are open, closed, both open and closed, or neither open nor closed: (b) Are A and/or B bounded? Are they compact?

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A: This is a calculus problem and I solved it in the next step.

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A: As per the guidelines I need to answer only one question at a time. Here all the questions are…

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A: Tou have to know the following result to solve this problem

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Q: If f(x,y,z) = 2x² − yz + xz², where x = 2 sint, y = t² − t + 1, and z = e−³t, find f't)

A: from chain rule of derivaties…

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A: Value of the line integral

Q: Let h(x, y) = x5 + y sin²x x² + y² 0, { 25 if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

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A: Let P2(x)=a0+a1x+a2x2 is the continuous least square approximation of degree 2 for the function…

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A: This question from complex analysis' s topic entire function.

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